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Finding the Fourth Proportional to 283,891.26, 425,820.09 and 106,383.42

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Solution

The fourth proportional to 283,891.26, 425,820.09 and 106,383.42 is: 159,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,891.26 : 425,820.09 = 106,383.42 : x
  2. Step 2: Convert to fraction form
    283,891.26/425,820.09 = 106,383.42/x
  3. Step 3: Cross multiply
    283,891.26x = 425,820.09 × 106,383.42
  4. Step 4: Simplify right side
    283,891.26x = 45,300,197,478.91
  5. Step 5: Solve for x
    x = 45,300,197,478.91/283,891.26
  6. Step 6: Final answer
    x = 159,568.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.